Incorrect. Factor the numerators and denominators. Regroup common factors in the same fraction.

$\displaystyle\frac{{{{x}}^{{2}}+{5}{x}-{24}}}{{{{x}}^{{2}}-{81}}}\cdot\frac{{{x}+{9}}}{{{x}-{3}}}=\frac{{{\left({x}+{8}\right)}{\left({x}-{3}\right)}}}{{{\left({x}-{9}\right)}{\left({x}+{9}\right)}}}\cdot\frac{{{x}+{9}}}{{{x}-{3}}}\usepackage{cmbright}\Huge\$

Simplify by regrouping common factors in the same fraction and reducing to 1. The correct answer is 8.